Electric Charge and Electric Field Problem

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Homework Help Overview

The problem involves two small charged spheres suspended by strings in a uniform electric field. The task is to determine the electric field required for the spheres to be in equilibrium at a specified angle, considering the forces acting on them.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to approach the problem and the role of gravity. Some participants suggest examining the forces acting on the spheres and drawing free-body diagrams to clarify the situation.

Discussion Status

Participants are exploring the forces involved, including electrostatic forces and gravity, and discussing the need for a static equilibrium analysis. Guidance has been offered regarding the importance of free-body diagrams and the consideration of the electric field's effects.

Contextual Notes

The original poster has not provided a diagram, and there is a request for clarification on how to represent the forces acting on the spheres. The discussion is ongoing, with no consensus reached yet.

lawk
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Homework Statement



Two small spheres, each of mass 8.00 g , are suspended by light strings 15.0 cm in length (see figure). A uniform electric field is applied in the x direction. The spheres have charges equal to -6*10^-8 and 6*10^-8 Determine the electric field that enables the spheres to be in equilibrium at an angle of 11 degree.

5ewwzn.jpg


Homework Equations



ke = 8.99*10^9
gravity= 9.8 m/s^2

ke(q1*q2)/r^2 ?

The Attempt at a Solution



I don't know how to approach the problem.
I don't know how gravity is affecting the problem.
Can someone guide me through the problem?
What should I do in order to get the answer?
 

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If you examine the diagram, you'll see that there are 3 forces acting on the system. Two of them, electrostatic attraction between the positive and negative charges and gravity cause the spheres to move closer together, and downwards respectively. The 3rd force, that due to the applied E-field, repels the positive charge and attracts the negative one. Those 3 forces in conjunction create a static equilibrium. Your job is to find the magnitude of the E-field applied.

Note that you must take into account the E-field due to either the positive or negative charge (unless it's small enough to be negligible).
 
Can someone please help with this question :) I am confused as to what to do as well :(

Tina
 
Have you drawn free-body diagrams showing the forces on each sphere? You'll need to show an attempt at solving the problem before we can help you out more.
 

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